Article2009

Design of Composite Wings Including Uncertainties: A Probabilistic Approach

62 citations0/0 files storedJournal of Aircraft

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Probabilistic and Robust Engineering Design Composite Structure Analysis and Optimization Aeroelasticity and Vibration Control

Abstract

A probabilistic method is developed to optimize the design of an idealized composite wing through consideration of the uncertainties in the material properties,ﬁber-direction angle, and ply thickness. The polynomial chaos expansion method is used to predict the mean, variance, and probability density function of theﬂutter speed, making use of an efﬁcient Latin hypercube sampling technique. One-dimensional, two-dimensional, and three-dimensional polynomial chaos expansions are introduced into the probabilistic ﬂutter model for different combinations of material, ﬁber-direction-angle, and ply-thickness uncertainties. The results are compared with Monte Carlo simulation and it is found that the probability density functions obtained using second- and third-order polynomial chaos expansion models compare well but require much less computation. A reliability criterion is deﬁned, indicating the probability of failure due to ﬂutter, and is used to determine successfully the optimal robust design of the composite wing.

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References

1991Stochastic Finite Elements: A Spectral Approach 1989Designs for Computer Experiments 1990Convex Models of Uncertainty in Applied Mechanics 1951Multiple Wiener Integral 2006Reliability-based Structural Design 2001Information-gap decision theory : decisions under severe uncertainty 2005Stochastic Approaches to Uncertainty Quantification in CFD Simulations 2006Uncertainty propagation in CFD using polynomial chaos decomposition

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2014Aircraft Robust Trajectory Optimization Using Nonintrusive Polynomial Chaos 2010Prediction of uncertain frequency response function bounds using polynomial chaos expansion 2010Structural Uncertainty Effect on Classical Wing Flutter Characteristics 2020Surrogate-Assisted Reliability Optimisation of an Aircraft Wing with Static and Dynamic Aeroelastic Constraints 2020Reliability based and robust design optimization of truss and composite plate using particle swarm optimization 2017

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